121122300103200 has 432 divisors, whose sum is σ = 466223751957600. Its totient is φ = 29344814284800.

The previous prime is 121122300103193. The next prime is 121122300103219. The reversal of 121122300103200 is 2301003221121.

121122300103200 is a `hidden beast` number, since 1 + 2 + 11 + 22 + 300 + 10 + 320 + 0 = 666.

It is a super-2 number, since 2×121122300103200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 127752496 + ... + 128697104.

It is an arithmetic number, because the mean of its divisors is an integer number (1079221648050).

Almost surely, 2^{121122300103200} is an apocalyptic number.

121122300103200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121122300103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233111875978800).

121122300103200 is an abundant number, since it is smaller than the sum of its proper divisors (345101451854400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121122300103200 is a wasteful number, since it uses less digits than its factorization.

121122300103200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946265 (or 946249 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 121122300103200 its reverse (2301003221121), we get a palindrome (123423303324321).

The spelling of 121122300103200 in words is "one hundred twenty-one trillion, one hundred twenty-two billion, three hundred million, one hundred three thousand, two hundred".